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Finding the Third Proportional to 251.86 and 542.11

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Solution

The third proportional to 251.86 and 542.11 is: 1,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.86 : 542.11 = 542.11 : x
  2. Step 2: Convert to fraction form
    251.86/542.11 = 542.11/x
  3. Step 3: Cross multiply
    251.86x = 542.11 × 542.11
  4. Step 4: Simplify right side
    251.86x = 293,882.57
  5. Step 5: Solve for x
    x = 293,882.57/251.86
  6. Step 6: Final answer
    x = 1,166.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.